When we refer to an analytically very general curve we mean in the sense
of definition:general.
A positive answer to question:non-abelian-Hodge would allow us to replace this with the usual algebraic notion of a very general curve in theorem:very-general-VHS.
It seems plausible that one can make this replacement in corollary:geometric-local-systems without requiring input from question:non-abelian-Hodge, using the main result of [1]}.

